Question

Water flows at the rate of 10 m per min from cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm ?

• A. 48 min 15 sec
• B. 51 min 12 sec
• C. 52 min 1 sec
• D. 55 min

Answer 1

The correct option is B 51 min 12 sec

Volume of water flown in 1 min $=\pi \times \frac{2.5}{10}\times \frac{2.5}{10}\times 1000=6.5\pi$

Volume of conical vessel $=\frac{1}{3}\pi \times 20\times 20\times 24=3200\pi$

$\therefore$ Time required to fill $=\frac{3200\pi }{62.5\pi }=51min.12sec.$